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Finding the Fourth Proportional to 784.70, 1,177.05 and 455.30

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Solution

The fourth proportional to 784.70, 1,177.05 and 455.30 is: 682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.70 : 1,177.05 = 455.30 : x
  2. Step 2: Convert to fraction form
    784.70/1,177.05 = 455.30/x
  3. Step 3: Cross multiply
    784.70x = 1,177.05 × 455.30
  4. Step 4: Simplify right side
    784.70x = 535,910.87
  5. Step 5: Solve for x
    x = 535,910.87/784.70
  6. Step 6: Final answer
    x = 682.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.